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Not from what I've read. The Tesla battery pack has some sophisticated heat management capabilities that dump the excess heat generated while super charging.

The most damaging things you can do to the batteries is keeping them 100% fully charged or completely discharging them.

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Yup, not an issue. When you're charging at 120kW the whole car hums and cooling system is going full-tilt. Pretty incredible to see 400VDC @ 300A go straight into the pack.

If you run the math its only roughly 170 continuous horsepower running thru those power cables, assuming 100% efficiency etc.

If they added another order of magnitude or two to that charge rate, then it would be impressive.

You have to take into account that the electric motor in a tesla is more efficient than a gas motor (3-4x). The reasoning is that a gallon of has has about 33.6kwh in a gallon (see wikipedia (https://en.wikipedia.org/wiki/Miles_per_gallon_gasoline_equi...). A tesla has 75 or 85 or 90 kwh onboard, so that's at most 3 gallons of gas!

Another way to think of it is that mpg equivalent of evs is around 90-100 mpg. The model S is a huge heavy car, and look how far it can go on 85kwh.

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